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Finding the Fourth Proportional to 92.05, 138.02 and 56.01

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Solution

The fourth proportional to 92.05, 138.02 and 56.01 is: 83.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.05 : 138.02 = 56.01 : x
  2. Step 2: Convert to fraction form
    92.05/138.02 = 56.01/x
  3. Step 3: Cross multiply
    92.05x = 138.02 × 56.01
  4. Step 4: Simplify right side
    92.05x = 7,729.81
  5. Step 5: Solve for x
    x = 7,729.81/92.05
  6. Step 6: Final answer
    x = 83.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.